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Finding the Third Proportional to 164,346 and 234,847

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Solution

The third proportional to 164,346 and 234,847 is: 335,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,346 : 234,847 = 234,847 : x
  2. Step 2: Convert to fraction form
    164,346/234,847 = 234,847/x
  3. Step 3: Cross multiply
    164,346x = 234,847 × 234,847
  4. Step 4: Simplify right side
    164,346x = 55,153,113,409
  5. Step 5: Solve for x
    x = 55,153,113,409/164,346
  6. Step 6: Final answer
    x = 335,591.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.